The ratio of the volumes of two similar solids is proportional to the cube of the diameter - or of any other linear measurement. For example, at twice the diameter, you would have 8 times the volume.
64 729
If the ratio of side lengths is 49 (that is 49 to 1) then the ratio of their volumes is 493 to 1, which is 117,649 to 1.
4 to 1.
Notice the exponents in these two statements.Those little tiny numbers tell the whole big story:(the ratio of the surface areas of similar figures) = (the ratio of their linear dimensions)2(the ratio of the volumes of similar solids) = (the ratio of their linear dimensions)3
If two solids are similar and the ratio of the lengths of their edges is 29, the ratio of their surface areas will be the square of the ratio of their lengths. Therefore, the ratio of their surface areas is (29^2), which equals 841. Thus, the ratio of the surface areas of the two solids is 841:1.
64 729
64:729
A.9:36
125:216
If the ratio of side lengths is 49 (that is 49 to 1) then the ratio of their volumes is 493 to 1, which is 117,649 to 1.
4 to 1.
If the ratio is 2 : 7 then the volumes are in the ratio 8 : 343.
The ratio of their volumes is 23^3 = 12167.
Notice the exponents in these two statements.Those little tiny numbers tell the whole big story:(the ratio of the surface areas of similar figures) = (the ratio of their linear dimensions)2(the ratio of the volumes of similar solids) = (the ratio of their linear dimensions)3
The corresponding sides of similar solids have a constant ratio.
The ratio is 57 cubed. This answer does not depend on the fact that you are comparing two similar pyramids; it works the same for two cubes, two spheres, etc. - in general, for any two similar 3D objects.
True